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Finding the Fourth Proportional to 36.80, 55.43 and 29.28

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Solution

The fourth proportional to 36.80, 55.43 and 29.28 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.80 : 55.43 = 29.28 : x
  2. Step 2: Convert to fraction form
    36.80/55.43 = 29.28/x
  3. Step 3: Cross multiply
    36.80x = 55.43 × 29.28
  4. Step 4: Simplify right side
    36.80x = 1,622.84
  5. Step 5: Solve for x
    x = 1,622.84/36.80
  6. Step 6: Final answer
    x = 44.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.